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QuestionWhen the factors of a trinomial are (xp) and (xq), then the constant term of the trinomial is what?DonaganTop AnswererThe constant is +pq.

QuestionHave you heard the term "slip" used to solve a trinomial?DonaganTop AnswererYes, the term is actually "slip and slide." The explanation is too lengthy to treat here, but you can websearch it.

QuestionDoes (x4)(x5) mean the same as (x5)(x4)?Community AnswerYes. Since you are multiplying the exact same trionimals the answer will be the same.

QuestionHow would I know if a given quadratic trinomial can be factored?DonaganTop AnswererBy inspecting the coefficient of the first term and the thirdterm constant. The factors of those terms must be combinable by multiplication and addition to produce the secondterm coefficient.

QuestionHow do I factor the equation (ax3+bx2+cx+d=0)?Community AnswerA cubic, if it factors at all, must have a linear factor and setting that linear factor to zero gives a rational root. Use the rational root theorem to search for rational roots. If it has one, factor it out. If it doesn't, it is already irreducible.

QuestionHow do I factor 3xÂ² + 11x + 16?DonaganTop AnswererThis expression does not factor easily, so you would have to use the quadratic formula: x = [b +/âˆš(bÂ²  4ac)] Ã· 2a.

QuestionIs 3x^2 + 2x + 1 not factorable?DonaganTop AnswererIt is not factorable.

QuestionHow do you I factorize this equation: 3x(p  q)  17y(q  p) + (p  q)?DonaganTop AnswererAlthough that expression is not an equation, it can still be factored this way: first factor (1) out of (q  p) in the middle term. That changes (q  p) to (p  q) and also changes 17y to +17y. Now the expression reads 3x(p  q) +17y(p  q) + (p  q). Note that there is an "understood" "+1" in front of the final (p  q). There is now a common factor (p  q) in all three terms of the trinomial. Factor out that common factor, and you're done: (p  q)(3x + 17y + 1).

QuestionHow do I factor 21xÂ² + 11x  2?DonaganTop Answerer21xÂ² + 11x  2 = (7x  1)(3x+ 2).

QuestionDoes multiplying two binomials always equal a trinomial?OrangejewsCommunity AnswerNot necessarily. For example (x^2+1)(x+1) = x^3 +x^2 +x +1 is not a trinomial because it has four terms. However, if both binomials have the same variables to the same powers, then it is true. In general, multiplying binomials gives four terms, one corresponding to each letter of the FOIL acronym. So, you only get a trinomial when the O and I terms combine.

QuestionHow do I factor 2x^2 + 12x + 8?DonaganTop AnswererThat expression does not factor. If that expression were set equal to zero, you would then have a quadratic equation, the roots of which could be found using the quadratic formula.

QuestionHow do I factorize k^2  k  20 = 0?DonaganTop AnswererkÂ²  k  20 = (k  5)(k + 4).

Question1 isn't prime. Why did you say it is?Community AnswerRight, it isn't. However, in this example, the distinction between primes and units isn't that important. That's because all the author really needs to show is that the only way do factor 3 as a product of whole numbers is 1x3 and the only way to factor 1 as a product of whole numbers is 1x1.

QuestionHow would I solve ax+bx+2cx?DonaganTop AnswererYou can't solve it, because it's not an equation. However, the expression can be factored as x(a + b + 2c).

QuestionHow do I factor 26x91?DonaganTop AnswererThat expression cannot be factored in any conventional sense.

QuestionHow do i factor y^2  xy  56x^2 ?DonaganTop AnswererNotice that the middle term is (1xy). That means you need two factors of 56 that are just 1 away from each other. 7 and 8 are factors of 56, so use them. yÂ²  xy  56xÂ² = (y + 7x)(y  8x).

QuestionHow do you factor a trinomial with a variable of one in the middle? (eg. 6z^2 + z 2)DonaganTop AnswererYou're looking for factors of 6 and factors of 2 that will combine (by adding or subtracting) to make 1. 6 will factor into 6 and 1 or 3 and 2. 2 will factor into 2 and +1 or +2 and 1. Choose 3 and 2 for the factors of 6, and +2 and 1 for the factors of 2. Thus, 6zÂ² + z  2 = (3z + 2)(2z  1).
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